10. Summary of simulation results The vertical and horizontal wave length are about 10 km and 12-16 km. The horizontal scale is similar to that of convection cell. The vertical phase velocity are about 10 m/sec. The vertical group velocity estimated by using dispersion relation is about several m/sec. The traveling time from the surface to 50 km hight is 1 or 2 hours. The distribution of turbulent diffusion coefficient suggests existence of wave breaking and mixing.